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Finding the Fourth Proportional to 51,567.44, 71,160.36 and 29,210

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Solution

The fourth proportional to 51,567.44, 71,160.36 and 29,210 is: 40,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,567.44 : 71,160.36 = 29,210 : x
  2. Step 2: Convert to fraction form
    51,567.44/71,160.36 = 29,210/x
  3. Step 3: Cross multiply
    51,567.44x = 71,160.36 × 29,210
  4. Step 4: Simplify right side
    51,567.44x = 2,078,594,115.60
  5. Step 5: Solve for x
    x = 2,078,594,115.60/51,567.44
  6. Step 6: Final answer
    x = 40,308.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.